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Finding the Fourth Proportional to 972.61, 1,458.51 and 356.34

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Solution

The fourth proportional to 972.61, 1,458.51 and 356.34 is: 534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.61 : 1,458.51 = 356.34 : x
  2. Step 2: Convert to fraction form
    972.61/1,458.51 = 356.34/x
  3. Step 3: Cross multiply
    972.61x = 1,458.51 × 356.34
  4. Step 4: Simplify right side
    972.61x = 519,725.45
  5. Step 5: Solve for x
    x = 519,725.45/972.61
  6. Step 6: Final answer
    x = 534.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.